Frequency-domain Methods For Nonlinear Analysis: Theory And Applications (Wold Scientific Series on Nonlinear Sciebcem Series A, Vol 9, Band 9) - Hardcover

FREQUENCY-DOMAIN METHODS FOR NONLINEAR ANALYSIS: THEORY AND APPLICATIONS (Hardcover)

Hardcover. Zustand: new. Hardcover. This book deals with the investigation of global attractors of nonlinear dynamical systems. The exposition proceeds from the simplest attractor of a single equilibrium to more complicated ones, that is, to finite denumerable and continuum equilibria sets; and further, to cycles, homoclinic and heteroclinic orbits; and finally, to strange attractors consisting of irregular unstable trajectories. On the complicated equilibria sets, the methods of Lyapunov stability theory are transferred. They are combined with stability techniques specially elaborated for such sets. The results are formulated as frequency-domain criteria. The methods connected with the theorems of existence of cycles and homoclinic orbits are developed. The estimates of Hausdorff dimensions of attractors are presented. Investigating global attractors of nonlinear dynamical systems, this work covers: the simplest attractor of a single equilibrium; finite denumerable and continuum equilibria sets; cycles, homoclinic and heteroclinic orbits; and strange attractors consisting of irregular unstable trajectories. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Artikel-Nr. 9789810221461

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